## baldymcgee6 2 years ago Is taking the derivative of e^x technically using the exponential rule?

1. jayz657

derivative of e^x is e^x, it doesnt change not power rule if thats what you mean

2. baldymcgee6

I know what the derivative of e^x is, that's not what I asked.

3. jayz657

theres no such thing as an exponetial rule btw

4. baldymcgee6
5. jayz657

that link shows derivatives of exponential functions there is no rule for it, all you need to know about derivatives of e^x is e^x or if your talk about functions like 2^x then you need to log the function so you could bring down the x and take derivative of it

6. baldymcgee6

would you agree that $d/dx(2^x) = 2^xln(2)$

7. baldymcgee6

@jayz657

8. jayz657

yea doing derivatives of y= 2^x is different from e^x since you dont need to do logs for e^x ln(y) = xln(2) 1/y dy/dx = ln(2) dy/dx = yln(2) y' = 2^x ln(2)

9. AccessDenied

Yes, this is just a specific case for the exponential rule: $$\large \frac{d}{dx}(e^x) = e^x \ln e = e^x * 1 = e^x$$

10. baldymcgee6

Thank you @AccessDenied

11. AccessDenied

You're welcome. :)